THREE:They had come to a better part of the town. They paused at length before Lytton Avenue. The house of many festivities was dark and dismantled. There was no sign of life or movement there.Whether Spinoza ever read Plato is doubtful. One hardly sees why he should have neglected a writer whose works were easily accessible, and at that time very popular with thinking minds. But whether he was acquainted with the Dialogues at first hand or not, Plato will help us to understand Spinoza, for it was through the door of geometry that he entered philosophy, and under the guidance of one who was saturated with the Platonic spirit; so far as Christianity influenced him, it was through elements derived from Plato; and his metaphysical method was one which, more than any other, would have been welcomed with delight by the author of the Meno and the Republic, as an attempt to realise his own dialectical ideal. For Spinozism is, on the face of it, an application of geometrical reasoning to philosophy, and especially to ethics. It is also an attempt to prove transcendentally what geometricians only assumethe necessity of space. Now, Plato looked on geometrical demonstration as the great type of certainty, the scientific completion of what Socrates had begun by his interrogative method, the one means of carrying irrefragable conviction into every department of knowledge, and more particularly into the study of our highest good. On the other hand, he saw that geometricians assume what itself requires to be demonstrated; and he confidently expected that the deficiency would be supplied by his own projected method of transcendent dialectics. Such at least seems to be the drift of the following passage:
FORE:Perhaps the processes of logic and mathematics may be adduced as an exception. It may be contended that the genus is prior to the species, the premise to the conclusion,321 the unit to the multiple, the line to the figure, in reason though not in time. And Plotinus avails himself to the fullest extent of mathematical and logical analogies in his transcendental constructions. His One is the starting-point of numeration, the centre of a circle, the identity involved in difference; and under each relation it claims an absolute priority, of which causal power is only the most general expression. We have already seen how a multitude of archetypal Ideas spring from the supreme Nous as from their fountain-head. Their production is explained, on the lines of Platos Sophist, as a process of dialectical derivation. By logically analysing the conception of self-consciousness, we obtain, first of all, Nous itself, or Reason, as the subject, and Existence as the object of thought. Subject and object, considered as the same with one another, give us Identity; considered as distinct, they give us Difference. The passage from one to the other gives Motion; the limitation of thought to itself gives Rest. The plurality of determinations so obtained gives number and quantity, their specific difference gives quality, and from these principles everything else is derived.473 It might seem as if, here at least, we had something which could be called a process of eternal generationa causal order independent of time. But, in reality, the assumed sequence exists only in our minds, and there it takes place under the form of time, not less inevitably than do the external re-arrangements of matter and motion. Thus in logic and mathematics, such terms as priority, antecedence, and evolution can only be used to signify the order in which our knowledge is acquired; they do not answer to causal relations existing among things in themselves. And apart from these two ordersthe objective order of dynamical production in space and time, and the subjective order of intelligibility in thoughtthere is no kind of succession that we can conceive. Eternal relations, if they exist at all, must322 be relations of co-existence, of resemblance, or of difference, continued through infinite time. Wherever there is antecedence, the consequent can only have existed for a finite time.
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